{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "432ddce3-2409-49f8-8503-90ab238238a2",
   "metadata": {},
   "source": [
    "# 理想低通滤波\n",
    "## 原理回顾\n",
    "理想低通滤波器在频率域中工作，其传递函数为$$H(u,v)=\\left\\{\\begin{matrix}1, & D(u,v)\\leq D_{0}\\\\ 0, & D(u,v)>D_{0}\\end{matrix}\\right.$$\n",
    "\n",
    "其中$D(u,v)=\\sqrt{u^{2}+v^{2}}$表示频率域中的点$(u, v)$到原点的距离，$D_0$是截止频率。\n",
    "\n",
    "通过设置截止频率$D_0$，可以决定哪些频率成分能够通过滤波器（低频成分，$D(u,v)\\leq D_{0}$时），哪些会被截断（高频成分，$D(u,v)> D_{0}$时），以此来滤除图像中的高频噪声，但也可能导致图像的边缘和细节（这些通常属于高频成分）变得模糊。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "0fad7260-1923-4f11-a9eb-3b06b10477e7",
   "metadata": {},
   "outputs": [],
   "source": [
    "import cv2\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "4de3eb60-b2b4-4798-93ed-c33ab06f6e42",
   "metadata": {},
   "outputs": [],
   "source": [
    "def ideal_lowpass_filter(image, D0):\n",
    "    \"\"\"\n",
    "    对输入图像进行理想低通滤波\n",
    "    :param image: 输入的图像（以灰度图形式，numpy数组表示）\n",
    "    :param D0: 截止频率\n",
    "    :return: 理想低通滤波后的图像（numpy数组表示）\n",
    "    \"\"\"\n",
    "    # 获取图像的高度和宽度\n",
    "    height, width = image.shape[:2]\n",
    "    t_image_filtered = [[0 for _ in range(width)] for _ in range(height)]\n",
    "    image_filtered = [[0 for _ in range(width)] for _ in range(height)]\n",
    "    # 对图像进行快速傅里叶变换，将图像转换到频率域\n",
    "    f = np.fft.fft2(image)\n",
    "    # 将零频率分量移到频谱的中心\n",
    "    fshift = np.fft.fftshift(f)\n",
    "\n",
    "    # 创建与频率域图像大小相同的滤波器掩模（全1）\n",
    "    rows, cols = fshift.shape\n",
    "    crow, ccol = rows // 2, cols // 2\n",
    "    mask = np.ones((rows, cols), np.float32)\n",
    "\n",
    "    # 根据截止频率设置滤波器掩模\n",
    "    for u in range(rows):\n",
    "        for v in range(cols):\n",
    "            D_uv = np.sqrt((u - crow) ** 2 + (v - ccol) ** 2)\n",
    "            if D_uv > D0:\n",
    "                mask[u, v] = 0\n",
    "\n",
    "    # 将滤波器掩模应用到频率域图像上\n",
    "    fshift_filtered = fshift * mask\n",
    "\n",
    "    # 将零频率分量移回原来的位置\n",
    "    f_ishift = np.fft.ifftshift(fshift_filtered)\n",
    "\n",
    "    # 进行逆快速傅里叶变换，将图像转换回空间域\n",
    "    image_filtered = np.abs(image_filtered).astype(np.uint8)\n",
    "    return t_image_filtered"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "5e2ba1ec-a9cc-42f8-a059-c8742573fba3",
   "metadata": {},
   "source": [
    "### 代码解释\n",
    "- **`ideal_lowpass_filter`函数**：\n",
    "    - 该函数接受两个参数，`image`是输入的灰度图像，以二维的`numpy`数组形式传入（通过`cv2.imread`以灰度图模式读取图像得到的就是这种格式），`D0`是理想低通滤波器的截止频率，它决定了哪些频率成分会被滤除。\n",
    "    - 在函数内部，首先通过`image.shape[:2]`获取图像的高度和宽度。然后使用`np.fft.fft2`函数对图像进行快速傅里叶变换（`FFT`），将图像从空间域转换到频率域，得到`f`。接着使用`np.fft.fftshift`函数将零频率分量移到频谱的中心，得到`fshift`，这样便于后续进行滤波器掩模的设置和操作。\n",
    "    - 之后创建一个与频率域图像大小相同的全`1`的滤波器掩模`mask`（初始时假设所有频率成分都能通过），其数据类型为`np.float32`。通过循环遍历掩模的每个像素（对应频率域中的每个点），计算该点到频谱中心的距离`D_uv`，根据公式$$D(u,v)=\\sqrt{(u - crow) ** 2 + (v - ccol) ** 2}$$\n",
    "    - 这里`crow`和`ccol`分别是频谱中心的行和列索引），如果距离大于截止频率`D0`，就将掩模对应位置的元素设置为`0`，表示截断该频率成分。\n",
    "    - 接着将滤波器掩模`mask`与频率域图像`fshift`对应元素相乘，实现滤波器的应用，得到`fshift_filtered`，即滤除高频成分后的频率域图像。再使用`np.fft.ifftshift`函数将零频率分量移回原来的位置，得到`f_ishift`。\n",
    "    - 最后使用`np.fft.ifft2`函数对`f_ishift`进行逆快速傅里叶变换，将图像从频率域转换回空间域，得到`image_filtered`。由于逆变换后的结果可能包含虚部（在实际图像中我们只关注实部，也就是取绝对值），所以使用`np.abs`函数取绝对值，并通过`astype(np.uint8)`将其转换为8位无符号整数类型（符合图像像素值的常见数据类型要求），返回滤波后的图像。"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "06ffd722-4324-4706-86ed-aa6ef4716590",
   "metadata": {},
   "source": [
    "### 用法示例"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "afd323c8-7dd6-4ad2-a280-59fb43aded37",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 读取图像（以灰度图模式读取）\n",
    "image = cv2.imread('flower.jpg', 0)\n",
    "\n",
    "# 设置截止频率，可根据实际情况调整\n",
    "D0 = 70\n",
    "# 进行理想低通滤波\n",
    "filtered_image = ideal_lowpass_filter(image, D0)\n",
    "\n",
    "# 使用matplotlib在Jupyter Notebook中显示原始图像和滤波后的图像\n",
    "plt.subplot(1, 2, 1)\n",
    "plt.imshow(image, cmap='gray')\n",
    "plt.title('Original Image')\n",
    "\n",
    "plt.subplot(1, 2, 2)\n",
    "plt.imshow(filtered_image, cmap='gray')\n",
    "plt.title('Filtered Image')\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "f800d4f8-c501-4467-a7c1-52a32a87ac84",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.11.7"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
